Iterated Function System Contraction Fractals Hutchinson- Barnsley Operator Intuitionistic Fuzzy Metric Space Compact set Cost reduction Deteriorating items Economic order quantity Fixed Point Fractal Analysis Fuzzy Metric Space Hausdorff Fuzzy Metric Hausdorff Intuitionistic Fuzzy Metric Integrated inventory model Inventory production Investment for quality improvement Linear time varying demand Logarithmic function Partial backlogging Power demand pattern Reich Contraction Rework Salvage value Time dependent holding cost Trade credit Variable lead time Weibull deterioration Well posedness defective items and Inspection vendor-buyer